通分:(1)3/4x²y³z与5/6xy∧4 (2)x-y与x-y/x+y (3)x-1/ x²+2x+1与2/x²-1急需,谢谢
问题描述:
通分:(1)3/4x²y³z与5/6xy∧4 (2)x-y与x-y/x+y (3)x-1/ x²+2x+1与2/x²-1
急需,谢谢
答
1.3/4x^2y^3z与5/6xy^4可以让3/4x^2y^3z上下同乘与3y=9y/12x^2y^4z,5/6xy^4上下同乘与2xz=10xz/12x^2y^4z
2.x-y与x-y/x+y可以让x-y上下同乘与x+y则可以化成想x^2-y^2/x+y与x-y/x+y
3.x-1/ x²+2x+1与2/x²-1即等同于x-1/(x+1)^2与2/(x+1)(x-1)则x-1/(x+1)^2上下同乘与x-1=(x-1)^2/(x+1)^2(x-1),2/(x+1)(x-1)上下同乘与(x+1)=2(x+1)/(x+1)^2(x-1).
掌握此类题的方法就是分别化简找出不同的因式,在根据分数原理进行通分.